Homework Problems Chapter 2 Homework Problems: 1, 4, 19, 24, 28 (give the number of protons, neutrons, and electrons), 30, 38, 41, 44, 46, 54, 64, 66, 67, 72, 76, 82, 84, 96, 101, 104, 114, 116, 117, 124 CHAPTER 2 Atoms, Molecules, and Ions Early Theories of Matter The ancient Greeks discussed two possibilities for the essential property of matter. Matter is continuous (no “particles” of matter) - Plato, Aristotle, and a majority of Greek philosophers. Matter is discrete (composed of particles) - Democritus, Leucippus, and a small number of Greek philosophers. Does this process have an end? yes – particles of matter exist no – matter is continuous General Properties of Chemical Systems As scientists began studying chemical systems they discovered several general properties of such systems. 1) Conservation of Mass. The total mass in a closed system remains constant, even if chemical reactions occur. 2) Law of Definite Proportions. All samples of a particular pure chemical substance contain the same relative amounts of each element making up the substance. Examples: methane 74.9 % C, 25.1 % H water 88.8 % O, 11.2 % H copper (II) sulfate 39.8 % Cu, 20.1 % S, 40.1 % O 3) Law of Multiple Proportions. When two elements can combine to form several different chemical compounds, the ratio of the amount of the second element combining with a fixed amount of the first element will be the ratio of small whole numbers. Example: There are two common compounds of carbon and oxygen carbon monoxide 1.000 g of C reacts with 1.332 g of O carbon dioxide 1.000 g of C reacts with 2.664 g of O g O in carbon dioxide = 2.664 g = 2.000 2 g O in carbon monoxide 1.332 g 1 It is easier to calculate the ratios with the larger number on top, but that is not required. Example: The following pure chemical substances can be formed out of the elements nitrogen and oxygen nitrogen monoxide 1.000 g of N reacts with 1.142 g of O nitrogen dioxide 1.000 g of N reacts with 2.285 g of O nitrous oxide 1.000g of N reacts with 0.5711 g of O Do these substances demonstrate the law of multiple proportions? nitrogen monoxide 1.000 g of N reacts with 1.142 g of O nitrogen dioxide 1.000 g of N reacts with 2.285 g of O nitrous oxide 1.000g of N reacts with 0.5711 g of O g O in nitrogen monoxide = 1.142 g = 2.000 2 g O in nitrous oxide 0.5711g 1 g O in nitrogen dioxide = 2.285 g = 4.001 4 g O in nitrous oxide 0.5711 g 1 g O in nitrogen dioxide g O in nitrogen monoxide = 2.285 g = 2.001 2 1.142 g 1 So yes, these data are consistent with the law of multiple proportions. Dalton’s Atomic Theory A comprehensive theory that accounted for the above observations was proposed by John Dalton, an English chemist, in 1808. There were three parts to the theory. 1) Elements are composed of particles, called atoms. a) All atoms of the same element are identical in size, mass, and chemical properties. b) Atoms of different elements differ in their size, mass, and chemical properties. Dalton’s Atomic Theory (continued) 2) Chemical compounds are composed of atoms of more than one element. a) In any particular pure chemical compound the same kinds of atoms are present in the same relative numbers. 3) Chemical reactions can rearrange atoms, but atoms cannot be created, destroyed, or converted from atoms of one element to atoms of a different element. We now know that some of the hypotheses in Dalton’s atomic theory are not completely correct; however, the theory represents a good starting point in understanding the composition of matter. Consequences of Dalton’s Atomic Theory Dalton’s theory can be used to explain the observations cited above. 1) Conservation of mass. Explained by (1) and (3). 2) Law of definite proportion. Explained by (1) and (2). Example: methane = CH4 Chemical formula - A list of the elements making up a compound, giving the number of atoms of each element per molecule or per formula unit of the compound. 3) Law of multiple proportions. Explained by (1) and (2) . carbon monoxide (CO) 1 C atom: 1 O atom carbon dioxide (CO2) 1 C atom: 2 O atom So for a given amount of carbon, carbon dioxide will have twice as many oxygen atoms (and therefore twice the mass of oxygen) as carbon monoxide. Atomic Structure In Dalton’s atomic theory the smallest particles (atoms) could not be further broken down. However, a series of experiments, beginning in the mid-19th century, demonstrated that atoms themselves were composed of smaller particles. Radioactivity In 1895, Antoine Becquerel discovered that some substances (such as radium and uranium) spontaneously emit “radiation”, a process called radioactivity. Three types of radioactivity were found: alpha () radiation: positively charged particles, now known to be He2+ nuclei (2 protons + 2 neutrons) beta () radiation: negatively charged particles, now known to be electrons gamma () radiation: uncharged, now known to be high energy photons (particles) of light Electrons J. J. Thompson (1897) found that when a high voltage was applied across two electrodes at low pressure a beam of particles moved from the negative to the positive electrode. The particles, named electrons, were negatively charged and the same regardless of the gas between the electrodes or the metal used in the electrodes. The charge and mass of an electron were determined experimentally by Millikan (1909). The “Plum Pudding” Model Since atoms are electrically neutral, the negative charge of the electrons in an atom had to be balanced by a positive charge. Thompson suggested that most of the space within an atom consisted of a positively charged substance, with electrons embedded within, the “plum pudding” model. Rutherford and the Nuclear Atom To test Thompson’s plum pudding model, Ernest Rutherford (1909) carried out an experiment where a beam of positively charged particles (alpha particles) were directed at a thin sheet of gold metal. The results of this experiment were inconsistent with the plum pudding model. Rutherford proposed a new model, called the nuclear model of the atom, that did account for the experimental results. Subatomic Particles particle charge Coulombs mass elementary kg amu proton (p+) + 1.60 x 10-19 +1 1.673 x 10-27 1 neutron (n) 0 0 1.675 x 10-27 1 electron (e-) - 1.60 x 10-19 -1 9.11 x 10-31 0 ________ 1 amu = 1.6605 x 10-27 kg mp/me = 1836. Atomic Structure nucleus electron charge cloud 1) The protons and neutrons of the atom are found in a small region in the center of the atom, called the nucleus. This region contains most of the mass of the atom, and all of the positive charge. 2) Electrons in the atom form a diffuse cloud of negative charge centered on the nucleus and occupying most of the volume of the atom. 3) The size of the charge for the proton and electron is the same. The charge for the proton is positive, and the charge for the electron is negative. Neutrons have no charge. 4) The type of element for an atom is determined by the number of protons in the atomic nucleus. Element (new definition) - An element is a pure chemical substance composed of atoms, each of which has the same number of protons in the nucleus. Hydrogen - one proton per atom Helium - two protons per atom Lithium - three protons per atom . . . . Similarly, we can now define a compound (new definition) as a pure chemical substance composed of two or more different kinds of atoms. The Periodic Table Atomic Number and Mass Number 1) The atomic number (Z) is equal to the number of protons in the atom. 2) Since atoms are electrically neutral, the number of electrons in an atom is also equal to Z, the atomic number. 3) The mass number (A) is equal to the number of protons + neutrons in the atom. a) Because protons and neutrons have a mass of approximately 1 (in amu) and electrons have a mass of approximately 0 (in amu) the mass number is equal to the approximate mass of the atom in amu. b) Based on the above, the number of neutrons in an atom is equal to A - Z. So for an atom: # protons = Z # electrons = Z # neutrons = A - Z Notation For Atoms We use the following general notation to represent isotopes of atoms. mass number symbol for element atomic number Since we can use the symbol for the element and the periodic table to determine Z, the atomic number, we often omit Z in giving the symbol for the atom. Example: 3416S = 34S We can omit the subscript because all sulfur atoms contain 16 protons. Isotopes The atomic number determines the number of protons and electrons in an atom. This does not place any restrictions on the number of neutrons in the atom. It is possible for atoms of the same element to have different numbers of neutrons. These different types of atoms are called isotopes. Isotopes of Hydrogen normal hydrogen deuterium tritium 1H 2H 3H Note that to a very good approximation isotopes of a particular element are chemically identical to one another. Example of Notation for Isotopes As an example of using the above notation, consider the following naturally occurring isotopes of oxygen (Z = 8). protons neutrons electrons mass number symbol 8 8 8 16 16O 8 9 8 17 17O 8 10 8 18 18O Example: How many protons, neutrons, and electrons are there in one atom of 56Fe? What is the approximate mass of one atom of 56Fe in amu and in kg? Example: How many protons, neutrons, and electrons are there in one atom of 56Fe? What is the approximate mass of one atom of 56Fe in amu and in kg? # protons = Z = 26 # neutrons = A – Z = 56 – 26 = 30 # electrons = Z = 26 approximate mass (amu) = A = 56 approximate mass (kg) = 56 amu 1.6605 x 10-27 kg 1 amu = 9.30 x 10-26 kg Note that the actual mass of one atom of 56Fe is 55.934939 amu. Atomic Mass Units (amu) The mass of a single atom of an element, expressed in SI units, is an extremely small number. For example, the mass of a single atom of 16O is 2.6560 x 10-26 kg. For convenience, we often express values for atomic mass in terms of atomic mass units (amu). Atomic mass units are defined as follows 12.00 amu = mass of one atom of 12C (exact) From this we get 1. amu = 1.6605 x 10-27 kg (approximate) The mass of any other atom (or particle) is found relative to the ratio of its mass to the mass of a 12C atom, which can be measured experimentally. Mass of particle (amu) = mass particle • (12.00 amu) mass 12C atom Example: A mass spectrometer is a device for determining values for mass for atoms and molecules. In a particular experiment, the ratio (mass M/mass 12C) is measured and found to be equal to 7.337. What is the mass of the molecule M (in amu)? Example: A mass spectrometer is a device for determining values for mass for atoms and molecules. In a particular experiment, the ratio (mass M/mass 12C) is measured and found to be equal to 7.337. What is the mass of the molecule M (in amu)? mass M = 7.337 mass 12C atom Mass M = 7.337 (mass 12C atom) = 7.337 (12.00 amu) = 88.04 amu Note that because of the way we define atomic mass units, the only isotope whose mass is exactly equal to its mass number is 12C. isotope mass (amu) 1H 12C 238U 1.007825 12.000000... (exact) 238.0508 Atomic Mass in the Periodic Table Because different isotopes of an element have different masses, the question arises as to which mass should be given in the periodic table. For short lived radioactive elements the mass number of the most stable isotope of the element is listed. Element Z A technetium (Tc) 43 98 radon (Rn) 86 222 plutonium (Pu) 94 244 Average Atomic Mass For naturally occurring elements, the value for mass given in the periodic table is the average atomic mass, based on the natural abundance of the isotopes that is observed. In general, we find the average atomic mass as follows: Mave = f1 M1 + f2 M2 + f3 M3 + … = i=1n fi Mi where f1, f2,...are the fractions of each isotope observed in nature M1, M2,…are the corresponding masses for each isotope (in amu) Note the following f1 + f2 + f3 + …= 1 fx = % X 100 % Non-chemical Example A person has a box of sandwiches. Half of the sandwiches are 6.0 ounces, and half of the sandwiches are 10.0 ounces. What is the average weight of a sandwich? Average weight = (0.50)(6.0 oz) + (0.50)(10.0 oz) = 8.0 ounces We use the same procedure in finding the average mass of an atom. We multiply the fraction of each isotope by the mass of that isotope, and then add the results to find the average mass. Chemical Example There are three naturally occurring isotopes of the element magnesium. Based on the information below, find the average atomic mass of a magnesium atom. Isotope percent f M(amu) 24Mg 78.70 % 23.98504 25Mg 10.03% 24.98584 26Mg 11.17% 25.98259 Chemical Example There are three naturally occurring isotopes of the element magnesium. Based on the information below, find the atomic mass of a magnesium atom. Isotope percent f M(amu) 24Mg 78.70 % 0.7870 23.98504 25Mg 10.03% 0.1003 24.98584 26Mg 11.17% 0.1117 25.98259 So Mave = (0.7870)(23.98504 amu) + (0.1003)(24.98584 amu) + (0.1117)(25.98259 amu) = 24.30 amu, the value given in the periodic table. Periodic Table The periodic table is an arrangement of the chemical elements based on similarities in their physical and chemical properties The periodic table contains a large amount of useful information about the chemical elements. Organization There are several ways in which the elements in the periodic table may be classified. Rows = Periods Columns = Groups This is the more important classification. Elements in the same group usually have similar physical and chemical properties. Simplified Periodic Table 1A 2A 3A 4A 5A 6A 7A 8A 1A 2A 3A 4A 5A 6A 7A 8A You are responsible for knowing the names/symbols for elements 1-57, 72-86, and 92. Major Groups in the Periodic Table 1A 2A 3A 4A 5A 6A 7A 8A Metals, Nonmetals, and Metalloids Metals: Usually solid at room temperature (exceptions Cs, Fr, Hg) Shiny metallic luster Good conductors of electricity and heat Malleable (can be hammered into thin sheets) Ductile (can be drawn into thin wires) Nonmetals: Can be solid, liquid, or gas at room temperature Dull colored (as solids) Poor conductors of electricity and heat Not malleable, not ductile Metalloids (semimetals): Intermediate between metals and nonmetals Metals, Nonmetals, Metalloids in the Periodic Table 1A 2A 3A 4A 5A 6A 7A 8A Examples of Elements (as found in nature) nickel germanium (metal) (metalloid) sulfur (nonmetal) Formation of Ions Ions are charged particles. Ions can be formed from an atom by either adding electrons (to form an anion) or removing electrons (to form a cation). Ions cannot be formed by changing the number of protons in the atom. cations anions particle Z # electrons particle Na 11 11 Na+ 11 10 Cl- 17 18 Ca 20 20 S 16 16 Ca2+ 20 18 S2- 16 18 Cl Z 17 # electrons 17 Note that the charge of an ion is indicated by a superscript to the right of the symbol for the ion. Metals usually form cations, while nonmetals usually form anions. Just as we can predict the number of protons, neutrons, and electrons from the symbol for an atom, we can do the same thing for cations and anions formed from atoms. We do this using the atomic number (Z) the mass number (A) and the charge of the ion. Example: How many protons, neutrons and electrons are there for a 31P3- ion and a 25Mg2+ ion? Example: How many protons, neutrons and electrons are there for a 31P3- ion and a 25Mg2+ ion? 31P3- # protons = Z = 15 # neutrons = A - Z = 31 - 15 = 16 Charge is 3-, so there are 3 more electrons than protons, and so the number of electrons = 18. 25Mg2+ # protons = Z = 12 # neutrons = A - Z = 25 - 12 = 13 Charge is 2+, so there are two more protons than electrons, and so the number of electrons is 10. Ion Charges For Main Group Elements Main group elements tend to form ions by adding or removing electrons so that the number of electrons remaining in the ion is equal to the number of electrons in one atom of the nearest noble gas. cations (metals) group 1A (Li, Na, K, Rb, Cs) form 1+ ions group 2A (Mg, Ca, Sr, Ba) form 2+ ions group 3A (Al) form 3+ ions anions (nonmetals) group 5A (N, P) form 3- ions group 6A (O, S, Se, Te) form 2- ions group 7A (F, Cl, Br, I) form 1- ions Transition Metal Ions Transition metals form cations. Most transition metals, as well as a few main group metals like tin (Sn) and lead (Pb), can form ions with several different charges, but a few transition metals, such as silver, usually form only one type of cation (Ag+ for silver, Cd2+ for cadmium, Zn2+ for zinc). Example: Iron (Fe) Fe2+, Fe3+ Copper (Cu) Cu+, Cu2+ Chromium (Cr) Cr3+, Cr6+ It is generally not easy to predict which cations a transition metal will form. Chemical Formula The chemical formula for a substance provides information concerning the composition of the substance. We can divide substances into two general types. 1) Substances that exist as collections of molecules. In this case the chemical formula indicates the number of atoms of each elements present per molecule. water (H2O) phosphorus pentachloride (PCl5) nitrous acid (HNO2) For organic molecules, the chemical formula is often given in a way that indicates how the molecule is put together. ethyl alcohol dimethyl ether CH3CH2OH = C2H6O CH3OCH3 = C2H6O acetone CH3COCH3 = C3H6O Notice that this longer notation makes it possible to distinguish among different forms (isomers) of organic molecules. 2) Substances that exist as collections of atoms or ions in the form of a crystal structure, a regular arrangement of the particles making up the substance. For these substances, the formula that is given is usually the empirical formula. An empirical formula gives the relative number of atoms of each element making up the compound, reduced to the smallest set of whole number coefficients. F- sodium chloride polonium NaCl Po Ca2+ calcium fluoride CaF2 Empirical Formula for Molecular Compounds The empirical formula for a substance gives the relative number of atoms of each element making up a pure chemical substance, reduced to the smallest set of integer values. For substances that exist as molecules, the molecular formula must be an integer multiple of the empirical formula. Substance Chemical formula Empirical formula water H2O H2O hydrogen peroxide H2O2 HO benzene C6H6 CH dichloroethane C2H4Cl2 CH2Cl acetic acid CH3COOH CH2O Molecular Compound A molecular compound is a compound composed of individual particles called molecules. The bonding between atoms is in such compounds is due to the sharing of one or more pairs of electrons. Molecular compounds are usually made up of one or more nonmetallic elements. Note that these compounds are sometimes called covalent compounds since the molecules are held together by covalent bonding. Examples: HBr hydrogen bromide SF6 CS2 carbon disulfide N2O4 dinitrogen tetroxide CH3Cl chloromethane SO2 sulfur hexafluoride sulfur dioxide Some elemental substances, such as O2 and N2, exist as individual molecules, but are not compounds, since they are composed of atoms of a single element. Ionic Compound An ionic compound is a compound formed from positive ions (cations) and negative ions (anions) held together by electrostatic attraction. For these compounds we usually give the empirical formula, (sometimes called the formula unit) or smallest electrically neutral collection of ions making up the compound. Binary ionic compounds (compounds formed from ions of two different elements) are usually a combination of a metal cation and a nonmetal anion. Examples: NaCl sodium chloride (Na+ and Cl-) Fe2O3 iron (III) oxide (Fe3+ and O2-) Na2O sodium oxide (Na+ and O2-) CuS copper (II) sulfide (Cu2+ and S2-) Chemical Formulas For Main Group Ionic Compounds Because main group elements form ions with a particular charge (depending on which group the element is from) we can predict the chemical formula for a main group ionic compound. We do this by first finding the charges of the ions formed, and then combining them to get an overall neutral compound using the smallest set of whole number coefficients. Examples: What is the chemical formula for the ionic compound formed from magnesium and chlorine, from sodium and sulfur, and from calcium and oxygen? Examples: What is the chemical formula for the ionic compound formed from magnesium and chlorine, from sodium and sulfur, and from calcium and oxygen? Mg and Cl Ions are Mg2+ and Cl-, so formula is MgCl2, magnesium chloride. Na and S Ions are Na+ and S2-, so formula is Na2S, aluminum sulfide. Ca and O Ions are Ca2+ and O2-, so formula is CaO, calcium oxide. magnesium chloride sodium sulfide calcium oxide Transition Metal Cations Transition metals can usually form ions with several different charges (this is also true for a few main group metallic elements like tin (Sn) and lead (Pb)). While we cannot easily predict which compounds will form between a transition metal and a main group nonmetal, we can usually figure out the charge of the transition metal cation if we know the chemical formula for the compound. This is indicated in the name of the compound. Examples: CuCl CuCl2 TiO2 MnS2 Examples: CuCl Cl- ion, so Cu+ ion copper (I) chloride CuCl2 Cl- ion, so Cu2+ ion copper (II) chloride TiO2 O2- ion, so Ti4+ ion titanium (IV) oxide MnS2 S2- ion, so Mn4+ ion manganese (IV) sulfide CuCl CuCl2 TiO2 Polyatomic Ions A polyatomic ion is a group of atoms which collectively has a charge and acts as an ion in an ionic compound. ion name example of ionic compound NO3- nitrate ion NaNO3, Ca(NO3)2, Ni(NO3)2 SO42- sulfate ion CuSO4, K2SO4, Al2(SO4)3 Note that when more than one polyatomic ion is present in a chemical compound the ion is placed in parentheses and the number of ions per formula unit of compound is given as a subscript outside the parentheses. Hydrates Some ionic compounds can exist in forms where there is a specific number of water molecules associated with every formula unit of the ionic compound. Such substances are called hydrates. Cobalt (II) chloride hexahydrate Cobalt (II) chloride Naming Rules For Simple Compounds Ionic compounds. a) [Main group metal (1A, 2A, metals and aluminum (3A), Ag+, Cd2+, Zn2+] + [main group nonmetal]: name of metal + name of nonmetal + ide Examples: K2S potassium sulfide NaCl sodium chloride CaI2 calcium iodide ZnF2 zinc fluoride Al2O3 aluminum oxide b) [Transition group metal (or group 4A metal)] + [main group nonmetal]: name of metal (charge of metal) + name of nonmetal + ide Examples: FeCl2 iron (II) chloride FeCl3 iron (III) chloride Cu2S copper (I) sulfide NiO PbS2 nickel (II) oxide lead (IV) sulfide c) Cation group NH4+ ammonium ion Hg22+ mercury (I) ion Use name of cation group + name of nommetal + ide. Example: NH4Br Hg2Cl2 (NH4)2S Hg2O HgO ammonium bromide mercury (I) chloride ammonium sulfide mercury (I) oxide mercury (II) oxide d) Anion group C2H3O2- is acetate ion CN- is cyanide ion OH- is hydroxide ion N3- is azide ion CrO42- is chromate ion MnO4- is permanganate ion CO32- is carbonate ion SCN- is thiocyanate ion C2O42- is oxalate ion O22- is peroxide ion Cr2O72- is dichromate ion ClO3- is chlorate ion BrO3- is bromate ion IO3- is iodate ion NO3- is nitrate ion SO42- is sulfate ion PO43- is phosphate ion +1 oxygen changes the name to per ________ ate -1 oxygen changes the name to ________ite -2 oxygen changes the name to hypo ________ ite Example: ClO3- is chlorate ion, so +1 O ClO4- is perchlorate ion -1 O ClO2- is chlorite ion -2 O ClO- is hypochlorite ion So we get (use name of cation + name of nonmetal group) NaClO4 sodium perchlorate NaClO3 sodium chlorate NaClO2 sodium chlorite NaClO sodium hypochlorite If more than one of a group is present, we place the group in parentheses with a number outside indicating how many of the group are present. Mg(NO3)2 magnesium nitrate Hydrogen containing anions HPO42- is hydrogen phosphate ion H2PO4- is dihydrogen phosphate ion HCO3- is hydrogen carbonate (bicarbonate) ion HSO4- is hydrogen sulfate (bisulfate) ion Examples: NaNO3 CuSO4 Zn(ClO3)2 Zn(ClO2)2 KH2PO4 sodium nitrate copper (II) sulfate zinc chlorate zinc chlorite potassium dihydrogen phosphate Acids. A substance that produces H+ ions when added to water (Arrhenius definition). a) Binary acids (hydrogen + nonmetal) hydro + nonmetal + ic acid (when in aqueous phase) Examples: HBr H2S hydrobromic acid hydrosulfuric acid b) Ternary acids (hydrogen + oxygen + nonmetal) hypo ________ite ion becomes hypo ________ ous acid ________ ite ion becomes ________ ous acid ________ ate ion becomes ________ ic acid per ________ ate ion becomes per ________ ic acid So -ate is changed to –ic acid, -ite is changed to -ous acid. Example: ClOClO2ClO3ClO4- hypochlorite ion chlorite ion chlorate ion perchlorate ion HClO hypochlorous acid HClO2 chlorous acid HClO3 chloric acid HClO4 perchloric acid Binary molecular compounds (compounds are usually two nonmetals) a) Left or lower element is named first, second element is given an ide ending, prefix is used to indicate the number of atoms per molecule (but the prefix mono is never used for the first element) mono = 1 tri = 3 penta = 5 hepta = 7 di = 2 tetra = 4 hexa = 6 octa = 8 Example: NO nitrogen monoxide NO2 nitrogen dioxide N2O dinitrogen monoxide (nitrous oxide) b) A few molecules have common names: H2O is water, NH3 is ammonia, CH4 is methane. c) If a binary molecular compound forms an acid when added to water the naming of the compound depends on whether it is in the gas phase or aqueous phase. HCl(g) HCl(aq) hydrogen chloride hydrochloric acid Organic Molecules There are systematic rules for naming organic molecules, but you will not be responsible for naming such compounds. CH3CH2CH2CH2CH3 CH3CH2OH CH3CH2OCH2CH3 n-pentane ethyl alcohol diethyl ether Hydrocarbons Hydrocarbons are molecules that contain only carbon and hydrogen. One kind of hydrocarbon in an alkane. Alkanes have the general formula CnH2n+2, where n = 1, 2, 3, … n Formula Name 1 2 3 4 5 • • • CH4 C2H6 C3H8 C4H10 C5H12 • • • methane ethane propane butane pentane • • • Functional Groups Organic molecules can also be classified based on whether or not they contain a particular group of atoms, called a functional group. Molecules containing the same functional group often have similar physical and chemical properties. End of Chapter 2 “…the ultimate particles of all homogeneous bodies are perfectly alike in weight, figure, and so forth.” - John Dalton, A New System of Chemical Philosophy (1808) “Elements arranged according to the size of their atomic weights show clear periodic properties.” - D. I. Mendeleev (1869) “I don’t believe that atoms exist!” - Ernst Mach (1897) “One of the wonders of this world is that objects so small can have such consequences: Any visible lump of matter - even the merest speck - contains more atoms than there are stars in our galaxy.” - P. W. Atkins